Paolo Dolce

collaborators

3 papers

math.NT2026

Kobayashi length bounds on bordered surfaces and generalized integral points on abelian varieties

Paolo Dolce

Let $B$ be a compact Riemann surface and $B_{0} \subset B$ a bordered hyperbolic subsurface obtained by removing finitely many disjoint closed disks. Fix a nontrivial loop $I^\pm$ in $B_…

math.NT2025

Relative monodromy of ramified sections on abelian schemes

Paolo Dolce, Francesco Tropeano

Let's fix a complex abelian scheme $A \to S$ of relative dimension $g$ , without fixed part, and having maximal variation in moduli. We show that the relative monodromy grou…

math.NT2025

Finite translation orbits on double families of abelian varieties (with an appendix by E. Amerik)

Ekaterina Amerik, Paolo Dolce, Francesco Tropeano

We study two families of $g$ -dimensional abelian varieties, induced by distinct rational maps defined on a common variety $A$ and mapping to two bases $\overlin…